Q 1.
The eigen values of a skewsymmetric matrix are
(A) always zero  (B) always pure imaginary 
(C) either zero or pure imaginary  (D) always real 
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The eigen values of a skewsymmetric matrix are
(A) always zero  (B) always pure imaginary 
(C) either zero or pure imaginary  (D) always real 
The trigonometric Fourier series for the waveform f(t) shown below contains
(A) only cosine terms and zero value for the dc component 
(B) only cosine terms and a positive value for the dc component 
(C) only cosine terms and a negative value for the dc component 
(D) only sine terms and a negative for the dc component 
A function n(x) satisfied the differential equation
(A) n(x) = K exp(x/L)  (B) n(x) = K exp(x/ 
(C) n(x) = K^{2} exp(x/L)  (D) n(x) = K exp(x/L) 
For the twoport network shown below, the shortcircuit admittance parameter matrix is
(A)  (B) 
(C)  (D) 
For parallel RLC circuit, which one of the following statements is NOT correct?
(A) The bandwidth of the circuit deceases if R is increased 
(B) The bandwidth of the circuit remains same if L is increased 
(C) At resonance, input impedance is a real quantity 
(D) At resonance, the magnitude of input impedance attains its minimum value. 
At room temperature, a possible value for the mobility of electrons in the inversion layer of a silicon nchannel MOSFET is
(A) 450 cm^{2}/V_{s}  (B) 1350 cm^{2}/V_{s}  (C) 1800 cm^{2}/V_{s}  (D) 3600 cm^{2}/V_{s} 
Thin gate oxide in a CMOS process in preferably grown using
(A) wet oxidation  (B) dry oxidation 
(C) epitaxial deposition  (D) ion implantation 
In the silicon BJT circuit shown below, assume that the emitter area of transistor Q1 is half that of transistor Q2.
The value of current I_{0} is approximately
(A) 0.5 mA  (B) 2mA  (C) 9.3 mA  (D) 15mA 
Assuming the OPAMP to be ideal, the voltage gain of the amplifier shown below is
(A)  (B)  (C)  (D) 
Match the logic gates in Column A with their equivalents in Column B.
(A) P?2, Q4, R1, S3  (B) P4, Q2, R1, S3 
(C) P?2, Q4, R3, S1  (D) P4, Q2, R3, S1 
For the output F to be 1 in the logic circuit shown, the input combination should be
(A) A = 1, B= 1. C = 0  (B) A = 1, B= 0,C = 0 
(C) A = 0, B= 1. C = 0  (D) A = 0, B= 0, C = 1 
In the circuit shown, the device connected to Y5 can have address in the range
(A) 2000  20FF  (B) 2D00 ? 2DFF  (C) 2E00 ? 2EFF  (D) FD00  FDFF 
Consider the ztransform X(z) = 5z^{2} + 4z^{1} + 3; 0<z < ? . The inverse z transform x[n] is
(A) 5?[n + 2] + 3? [n] + 4? [n ? 1]  (B) 5? [n  2] + 3? [n] + 4? [n + 1] 
(C) 5 u[n + 2] + 3 u[n] + 4 u[n ? 1]  (D) 5 u[n  2] + 3 u[n] + 4 u[n + 1] 
Two discrete time systems with impulse responses h_{1}[n] = ? [n 1] and h2[n] = ? [n ? 2] are connected in cascade. The overall impulse response of the cascaded system is
(A) ? [n  1] + ? [n  2]  (B) ? [n  4]  (C) ? [n  3]  (D) ? [n  1] ? [n  2] 
For an Npoint FFT algorithm with N = 2^{m} which one of the following statements is TRUE?
(A) It is not possible to construct a signal flow graph with both input and output in normal order 
(B) The number of butterflies in the m^{th} stage is N/m 
(C) Inplace computation requires storage of only 2N node data 
(D) Computation of a butterfly requires only one complex multiplication 
For the asymptotic Bode magnitude plot shown below, the system transfer function can be
(A)  (B)  (C)  (D) 
Suppose that the modulating signal is m(t) = 2cos (2
(A) x(t) = A_{c}m(t) cos(2 
(B) x(t) = A_{c}[1 + m(t)]cos(2 
(C) x(t) = A_{c} cos(2 
(D) x(t) = A_{c} cos(2 
Consider an angle modulated signal x(t) = 6cos[2
(A) 10W  (B) 18W  (C) 20W  (D) 28W 
If the scattering matrix [S] of a two port network is
then the network is
(A) lossless and reciprocal  (B) lossless but not reciprocal 
(C) not lossless but reciprocal  (D) neither lossless nor reciprocal 
A transmission line has a characteristic impedance of 50 ? and a resistance of 0.1 ? /m. if the line is distortion less, the attenuation constant (in Np/m) is
(A) 500  (B) 5  (C) 0.014  (D) 0.002 
The electric field component of a time harmonic plane EM wave traveling in a nonmagnetic lossless dielectric medium has an amplitude of 1 V/m. If the relative permittivity of the medium is 4, the magnitude of the timeaverage power density vector (in W/m^{2}) is
(A)  (B)  (C)  (D) 
If e^{y}=
(A) maximum at x= e  (B) minimum at x= e 
(C) maximum at x= e^{1}  (D) minimum at x= e^{1} 
If
(A) 0  (B)  (C) 1  (D) 
The residues of a complex function
(A)  (B) 
(C)  (D) 
Consider differential equation
(A) 0.01  (B) 0.031  (C) 0.0631  (D) 0.1 
Given
(A) 1  (B) 2  (C) 3  (D) 4 
In the circuit shown, the switch S is open for a long time and is closed at t=0. The current i(t) for t?0^{+} is
(A) i(t)=0.50.125e^{1000t} A  (B) i(t)=1.50.125e^{1000t} A 
(C) i(t)=0.50.5e^{1000t} A  (D) i(t)=0.375e^{1000t} A 
In the circuit shown, the power supplied by the voltage source is
(A) 0W  (B) 5W  (C) 10W  (D) 100W 
In a uniformly doped BJT, assume that NE, NB and NC are the emitter, base and collector dopings in atoms/cm3, respectively. If the emitter injection efficiency of the BJT is close unity, which one of the following conditions is TRUE?
(A) N_{E}=N_{B}=N_{C}  (B) N_{E} >>N_{B} and N_{B}>N_{C} 
(C) N_{E}=N_{B} and N_{B}<N_{C}  (D) N_{E}<N_{B}<N_{C} 
Compared to a pn junction with NA=ND=10^{14}/cm^{3}, which one of the following statements is TRUE for a pn junction with N_{A}=N_{D}=10^{20}/cm^{3}?
(A) Reverse breakdown voltage is lower and depletion capacitance is lower 
(B) Reverse breakdown voltage is higher and depletion capacitance is lower 
(C) Reverse breakdown voltage is lower and depletion capacitance is higher 
(D) Reverse breakdown voltage is higher and depletion capacitance is higher 
Assuming that flipflops are in reset condition initially, the count sequence observed at Q_{A} in the circuit shown is
(A) 0010111?  (B) 0001011?  (C) 0101111?  (D) 0110100? 
The Boolean function realized by the logic circuit shown is
(A) F= ?m(0,1,3,5,9,10,14)  (B) F= ?m(2,3,5,7,8,12,13) 
(C) F= ?m(1,2,4,5,11,14,15)  (D) F= ?m(2,3,5,7,8,9,12) 
For the 8085 assembly language program given below, the content of the accumulator after the execution of the program is

(A) 00H  (B) 45H  (C) 67H  (D) E7H 
A continuous time LTI system is described by
Assuming zero initial conditions, the response y(t) of the above system for the input x(t)=e^{2t} u(t) is given by
(A) (e^{t}e^{3t})u(t)  (B) (e^{t}3^{3t})u(t)  (C) (e^{t}+e^{3t})u(t)  (D) (e^{t}+e^{3t})u(t) 
The transfer function of a discrete time LTI system is given by
Consider the following statements:
S1: The system is stable and causal for ROC:
S2: The system is stable but not causal for ROC:
S3: The system is neither stable nor causal for ROC:
Which one of the following statements is valid?
(A) Both S1 and S2 are true  (B) Both S2 and S3 are true 
(C) Both S1 and S3 are true  (D) S1, S2 and S3 are all true 
The Nyquist sampling rate for the signal
(A) 400 Hz  (B) 600 Hz  (C) 1200Hz  (D) 1400 Hz 
A unity negative feedback closed loop system has a plant with the transfer function
(A)  (B) 
(C)  (D) 
X(t) is a stationary process with the power spectral density Sx(f)>0 for all f. The process is passed through a system shown below.
Let S_{y}(f) be the power spectral density of Y(t). Which one of the following statements is correct?
(A) S_{y}(f)>0 for all f 
(B) S_{y}(f)=0 for f>1kHz 
(C) S_{y}(f)=0 for f=nf_{0}, f_{0}=2kHz, n any integer 
(D) S_{y}(f)=0 for f=(2n+1)f_{0}=1kHz, n any integer 
A plane wave having the electric field component
(A)  (B) 
(C)  (D) 
In the circuit shown, all the transmission line sections are lossless. The Voltage Standing Wave Ration(VSWR) on the 60
(A) 1.00  (B) 1.64  (C) 2.50  (D) 3.00 
Consider the common emitter amplifier shown below with the following circuit parameters: ?=100, g_{m}=0.3861 A/V, r_{0}=?, r_{x}=259 ?, R_{S}=1K?, R_{B}=93K?, R_{C}=250?, R_{L}=1k? , C_{1}=? and C_{2}=4.7?F.
The lower cutoff frequency due to C_{2} is
(A) 33.9 Hz  (B) 27.1 Hz  (C) 13.6 Hz  (D) 16.9 Hz 
The signal flow graph of a system is shown below.
The state variable representation of the system can be
(A)  (B) 
(C)  (D) 
The signal flow graph of a system is shown below.
The transfer function of the system is
(A)  (B)  (C)  (D) 
The silicon sample with unit crosssectional area shown below is in thermal equilibrium. The followigi nformation is given:T 300k,electronic charge=1.6×10^{19} thermal voltage=26mv electronic mobility =1350
The magnitude ofectric field at x= 0.5?m is
(A)  (B)  (C)  (D) 
The silicon sample with unit crosssectional area shown below is in thermal equilibrium. The followigi nformation is given:T 300k,electronic charge=1.6×10^{19} thermal voltage=26mv electronic mobility =1350
The magnitude of the electron drift current density at x=0.5 ?m is
(A) 2.16x10^{4} A/cm^{2}  (B) 1.08x10^{4} A/cm^{2}  (C)4.32x10^{3} A/cm^{2}  (D) 6.48x10^{2 }A/cm^{2} 
Consider a baseband binary PAM receiver shown below. The additive channel noise n(t) is whit with power spectral density S_{k(}f)=N_{0}/2=10^{20} W/Hz. The lowpass is ideal with unity gain and cutoff frequency 1MHZ Let Y_{k} represent the random variable y(t_{k})
Y_{k}=N_{k} if transmitted bit b_{k}=0
Y_{k}=a+N_{k } if transmitted bit b_{k}=1
Where Nk represents the noise sample value. The noise sample has a probability density function P_{Nk}(n)=0.5?e^{?n }(This has mean zero and variance 2/?^{2}) Assume transmitted bits to be equiprobable and thresold Z is set to a/2=10^{6}v
The probability of bit error is
(A) 0.5×e^{3.5}  (B) 0.5×e^{5}  (C) 0.5×e^{7}  (D) 0.5×e^{10} 
Which of the following options is the closest in meaning to the word below:
Circultous
(A) cyclic 
(B) indirect 
(C) confusing 
(D) crooked 
The question below consists of a pair of related words followed by four pairs of words. select the pair that best expresses the relation in the original pair.
Unemployed : Worker
(A) fallow : land 
(B) unaware : sleeper 
(C) wit : jester 
(D) renovated : house 
Choose the most appropriate word from the options given below to complete the following sentence:
If we manage to ______ our natural resources, we would leave a better planet for our children.
(A) uphold 
(B) restrain 
(C) cherish 
(D) conserve 
Choose the most appropriate word from the options given below to complete the following sentence:
His rather casual remarks on politics______his black of seriousness about the subject.
(A) masked 
(B) belied 
(C) betrayed 
(D) suppressed 
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and regretfully, there exist people in military establishments who think that chemical agents are useful tools for their cause.
Which of the following statements best sums up the meaning of the above passage:
(A) Modern warfare has resulted in civil strife. 
(B) Chemical agents are useful in modern warfare. 
(C) Use of chemical agents in warfare would be undesirable 
(d) People in military establishments like to use chemical agents in war. 
5 skilled workers can build a wall in 20days; 8 semiskilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30days. If a team has 2 skilled, 6 semiskilled and 5 unskilled workers, how long will it take to build the wall?
(A) 20 days  (B) 18 days  (C) 16 days  (D) 15 days 
Given digits 2, 2, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?
(A) 50  (B) 51  (C) 52  (D) 54 
Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1^{st} January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
i. Hari?s age + Gita?s age > Irfan?s age + Saira?s age 
ii. The age difference between Gita and Saira is 1 year. However Gita is not the oldest and Saira is not the youngest. 
iii. There are no twins. 
In what order were they born (oldest first)?
(A) HSIG  (B) SGHI  (C) IGSH  (D) IHSG 